Recent activity
New submissions and commentary edits, newest first.
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submitted curve #413 — rank ≥ 24, naive height 265.74
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submitted curve #412 — rank ≥ 21, naive height 236.23
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commented on curve #411
Found with Rank Hunter v0.8.6.4; family=Campbell 1999 C6, generic rank >=13; parameter=5/2; local status: rigorous rank lower bound >= 17. -
submitted curve #411 — rank ≥ 17, naive height 243.41
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submitted curve #410 — rank ≥ 21, naive height 237.59
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commented on curve #398
Noam D. Elkies and Zev Klagsbrun, September 2025 -
commented on curve #399
Noam D. Elkies and Zev Klagsbrun, January 2026 -
commented on curve #400
Noam D. Elkies and Zev Klagsbrun, January 2026 -
commented on curve #401
Noam D. Elkies and Zev Klagsbrun, January 2026 -
commented on curve #402
Noam D. Elkies and Zev Klagsbrun, January 2026 -
commented on curve #403
Noam D. Elkies and Zev Klagsbrun, January 2026. The cubic field generated by the x-coordinate of a 2-torsion point has a class group of 2-rank at least 26, the highest known for a cubic number field. -
commented on curve #404
Noam D. Elkies and Zev Klagsbrun, January 2026. The cubic field generated by the x-coordinate of a 2-torsion point has a class group of 2-rank at least 25, the highest known for a real cubic number field. -
commented on curve #409
Rank-18 curve from Mestre's quartic construction, specialized at T = 2539/5. The sextuple is [0, 113, 550, 753, 868, 1058], the canonical primitive representative from u = -3, v = -1/2 in the Mestre-Fermigier family, whose generic member has rank 12. -
submitted curve #409 — rank ≥ 18, naive height 195.69
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commented on curve #408
Rank-18 curve from Mestre's quartic construction, specialized at T = 1861/5. The sextuple is [0, 113, 550, 753, 868, 1058], the canonical primitive representative from u = -3, v = -1/2 in the Mestre-Fermigier family, whose generic member has rank 12. -
submitted curve #408 — rank ≥ 18, naive height 194.39
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commented on curve #407
Rank-18 curve from Mestre's quartic construction, specialized at T = 235/3. The sextuple is [0, 113, 550, 753, 868, 1058], the canonical primitive representative from u = -3, v = -1/2 in the Mestre-Fermigier family, whose generic member has rank 12. -
submitted curve #407 — rank ≥ 18, naive height 181.35
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commented on curve #406
Rank-18 curve from Mestre's quartic construction, specialized at T = 2357/2. The sextuple is [0, 113, 550, 753, 868, 1058], the canonical primitive representative from u = -3, v = -1/2 in the Mestre-Fermigier family, whose generic member has rank 12. -
submitted curve #406 — rank ≥ 18, naive height 186.55
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commented on curve #405
Rank-18 curve from Mestre's quartic construction, specialized at T = 2383/4. The sextuple is [0, 113, 550, 753, 868, 1058], the canonical primitive representative from u = -3, v = -1/2 in the Mestre-Fermigier family, whose generic member has rank 12. Rank is exactly 18. -
submitted curve #405 — rank ≥ 18, naive height 185.89
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commented on curve #404
Noam D. Elkies and Zev Klagsbrun, 2025. The cubic field generated by the x-coordinate of a 2-torsion point has a class group of 2-rank at least 25, the highest known for a real cubic number field. -
submitted curve #404 — rank ≥ 27, naive height 372.79
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commented on curve #403
Noam D. Elkies and Zev Klagsbrun, 2025. The cubic field generated by the x-coordinate of a 2-torsion point has a class group of 2-rank at least 26, the highest known for a cubic number field. -
submitted curve #403 — rank ≥ 28, naive height 389.33
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commented on curve #402
Noam D. Elkies and Zev Klagsbrun, 2025 -
submitted curve #402 — rank ≥ 27, naive height 350.82
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commented on curve #401
Noam D. Elkies and Zev Klagsbrun, 2025 -
submitted curve #401 — rank ≥ 27, naive height 315.40